Tensorflow¶
Keras Multi-layer Perceptron
Tensorflow Premade Estimators
Tensorflow Image and Text Classification
Tensorflow Linear Classifier
Dataset¶
In [1]:
import numpy as np
import pandas as pd
from sklearn import datasets
data = datasets.load_breast_cancer()
Data = pd.DataFrame(data['data'], columns = [x.title() for x in data['feature_names']])
Labels_dict = dict(zip(list(np.sort(np.unique(data['target'].tolist()))),
list([x.title() for x in data['target_names']])))
Target = 'Diagnosis'
Data[Target] = data['target']
# Data['Diagnosis'] = data['target'].replace(Labels_dict)
display(Data)
print(data['DESCR'])
As can be seen, the number of instances is 569 and the number of attributes is 32. The object of the exercise is to create a classification model that can classify the type of Diagnosis base on the rest of the attributes. However, first, let's plot a count plot for Diagnosis attribute.
Features with high variance¶
Moreover, high variance for some features can hurt our modeling process. For this reason, we would like to standardize features by removing the mean and scaling to unit variance.
In [2]:
from sklearn import preprocessing
X = Data.drop(columns = [Target])
y = Data[Target]
Temp = X.var().to_frame(name= 'Variance (Origial)').round(4)
scaler = preprocessing.StandardScaler()
X_std = scaler.fit_transform(X)
X_std = pd.DataFrame(data = X_std, columns = X.columns)
Temp = Temp.join(X_std.var().to_frame(name= 'Variance (Normalized)').round(4))
display(Temp.style.background_gradient(cmap='Reds', subset = 'Variance (Origial)')\
.background_gradient(cmap='Greens', subset = 'Variance (Normalized)'))
del Temp
In [3]:
X_std.columns = [x.replace(' ','_').replace('/','_') for x in X_std.columns]
Feat_Dict = dict(zip(X.columns, X_std.columns))
Train and Test sets¶
In [4]:
import plotly.express as px
from HD_DeepLearning import DatasetTargetDist
Pull = [0 for x in range((len(Labels_dict)-1))]
Pull.append(.05)
PD = dict(PieColors = ['SeaGreen','FireBrick'], TableColors = ['Navy','White'], hole = .4,
column_widths=[0.6, 0.4], textfont = 14, height = 400, tablecolumnwidth = [0.25, 0.15, 0.15],
pull = Pull, legend_title = Target, title_x = 0.5, title_y = .9, pie_legend = [0.01, 0.01])
del Pull
DatasetTargetDist(Data, Target, Labels_dict, PD, orientation= 'columns')
StratifiedKFold is a variation of k-fold which returns stratified folds: each set contains approximately the same percentage of samples of each target class as the complete set.
In [5]:
from sklearn.model_selection import StratifiedShuffleSplit
def HD_StratifiedShuffleSplit(X, y, Test_Size = 0.3):
sss = StratifiedShuffleSplit(n_splits=1, test_size=Test_Size, random_state=42)
_ = sss.get_n_splits(X, y)
for train_index, test_index in sss.split(X, y):
# X
if isinstance(X, pd.DataFrame):
X_train, X_test = X.loc[train_index], X.loc[test_index]
else:
X_train, X_test = X[train_index], X[test_index]
# y
if isinstance(y, pd.Series):
y_train, y_test = y[train_index], y[test_index]
else:
y_train, y_test = y[train_index], y[test_index]
del sss
return X_train, y_train, X_test, y_test
X_train, y_train, X_test, y_test = HD_StratifiedShuffleSplit(X_std, y)
from HD_DeepLearning import Train_Test_Dist
PD.update(dict(column_widths=[0.3, 0.3, 0.3], tablecolumnwidth = [0.2, 0.4], height = 550, legend_title = Target))
Train_Test_Dist(X_train, y_train, X_test, y_test, PD, Labels_dict)
#
import tensorflow as tf
# y_train = tf.keras.utils.to_categorical(y_train, num_classes=len(Labels_dict))
# y_test = tf.keras.utils.to_categorical(y_test, num_classes=len(Labels_dict))
Modeling: Tensorflow Linear Classifier¶
Here, we use the Tensorflow Linear classifier model.tf.estimator.LinearClassifier.
Input Function
The input_function defines how data is converted to a tf.data.Dataset that provides the input pipeline.
In [6]:
def input_fn(features, labels, training=True, batch_size=256):
"""An input function for training or evaluating"""
# Convert the inputs to a Dataset.
dataset = tf.data.Dataset.from_tensor_slices((dict(features), labels))
# Shuffle and repeat if you are in training mode.
if training:
dataset = dataset.shuffle(1000).repeat()
return dataset.batch(batch_size)
Moreover, an estimator model consists of two main parts, feature columns, and a numeric vector. Feature columns provide explanations for the input numeric vector. The following function separates categorical and numerical columns (features)and returns a descriptive list of feature columns.
In [7]:
import tensorflow as tf
def NumCat_fun(Inp):
Temp = Inp.dtypes.reset_index(drop = False)
Temp.columns = ['Features', 'Data Type']
Temp['Data Type'] = Temp['Data Type'].astype(str)
# Numeric_Columns
Numeric_Columns = Temp.loc[Temp['Data Type'].isin(['int64', 'int32', 'float64', 'float32']),'Features'].tolist()
# Categorical_Columns
Categorical_Columns = Temp.loc[Temp['Data Type'] == 'object','Features'].tolist()
return Numeric_Columns, Categorical_Columns
def Feat_Columns(Inp):
Numeric_Columns, Categorical_Columns = NumCat_fun(Inp)
# Feature Columns
feature_columns = []
if len(Categorical_Columns)>0:
for feature_name in Categorical_Columns:
vocabulary = Inp[feature_name].unique()
feature_columns.append(tf.feature_column.categorical_column_with_vocabulary_list(feature_name, vocabulary))
if len(Numeric_Columns)>0:
for feature_name in Numeric_Columns:
feature_columns.append(tf.feature_column.numeric_column(feature_name))
return feature_columns
my_feature_columns = Feat_Columns(X_std)
Estimator using the Default Optimizer¶
In [8]:
from IPython.display import clear_output
tf.keras.backend.clear_session()
IT = int(5e2)
classifier = tf.estimator.LinearClassifier(feature_columns=my_feature_columns,
# The model must choose between 3 classes.
n_classes=len(Labels_dict))
classifier.train(input_fn=lambda: input_fn(X_train, y_train, training=True), max_steps = IT)
result = classifier.evaluate(input_fn=lambda: input_fn(X_test, y_test, training=False))
clear_output()
display(pd.DataFrame(result, index = ['']).round(4))
ROC Curves¶
In [9]:
from HD_DeepLearning import ROC_Curve
# converting y_test to categorical
y_test_cat = tf.keras.utils.to_categorical(y_test, num_classes = len(Labels_dict), dtype='float32')
pred_dicts = list(classifier.predict(input_fn=lambda: input_fn(X_test, y_test, training=False)))
clear_output()
probs = np.array([pred['probabilities'] for pred in pred_dicts])
ROC_Curve(y_test_cat, probs, n_classes = len(Labels_dict), FS = 8)
Confusion Matrix¶
The confusion matrix allows for visualization of the performance of an algorithm. Note that due to the size of data, here we don't provide a Cross-validation evaluation. In general, this type of evaluation is preferred.
In [10]:
from sklearn import metrics
from HD_DeepLearning import Confusion_Mat
# Train
pred_dicts = list(classifier.predict(input_fn=lambda: input_fn(X_train, y_train, training=False)))
clear_output()
probs = np.array([pred['probabilities'] for pred in pred_dicts])
y_pred = np.argmax(probs, axis = 1).reshape(-1,1)
Reports_Train = pd.DataFrame(metrics.classification_report(y_train, y_pred, target_names=list(Labels_dict.values()),
output_dict=True)).T
CM_Train = metrics.confusion_matrix(y_train, y_pred)
# Test
pred_dicts = list(classifier.predict(input_fn=lambda: input_fn(X_test, y_test, training=False)))
clear_output()
probs = np.array([pred['probabilities'] for pred in pred_dicts])
y_pred = np.argmax(probs, axis = 1).reshape(-1,1)
Reports_Test = pd.DataFrame(metrics.classification_report(y_test, y_pred, target_names=list(Labels_dict.values()),
output_dict=True)).T
CM_Test = metrics.confusion_matrix(y_test, y_pred)
Reports_Train = Reports_Train.reset_index().rename(columns ={'index': 'Train Set'})
Reports_Test = Reports_Test.reset_index().rename(columns ={'index': 'Test Set'})
display(Reports_Train.style.hide(axis='index').set_properties(**{'background-color': 'HoneyDew', 'color': 'Black'}).\
set_properties(subset=['Train Set'], **{'background-color': 'SeaGreen', 'color': 'White'}))
display(Reports_Test.style.hide(axis='index').set_properties(**{'background-color': 'Azure', 'color': 'Black'}).\
set_properties(subset=['Test Set'], **{'background-color': 'RoyalBlue', 'color': 'White'}))
PD = dict(FS = (10, 6), annot_kws = 14, shrink = .6, Labels = list(Labels_dict.values()))
Confusion_Mat(CM_Train, CM_Test, PD = PD, n_splits = None)
Estimator using the FTRL Optimizer with Regularization
The Follow the Regularized Leader (FTRL) model is an implementation of the FTRL-Proximal online learning algorithm for binomial logistic regression (for details see [6]).
In [11]:
tf.keras.backend.clear_session()
IT = int(5e3)
classifier = tf.estimator.LinearClassifier(feature_columns=my_feature_columns,
optimizer=tf.keras.optimizers.Ftrl(learning_rate=0.1, l1_regularization_strength=0.001))
#
classifier.train(input_fn=lambda: input_fn(X_train, y_train, training=True), max_steps = IT)
result = classifier.evaluate(input_fn=lambda: input_fn(X_test, y_test, training=False))
clear_output()
display(pd.DataFrame(result, index = ['']).round(4))
ROC Curves¶
In [12]:
# converting y_test to categorical
y_test_cat = tf.keras.utils.to_categorical(y_test, num_classes = len(Labels_dict), dtype='float32')
pred_dicts = list(classifier.predict(input_fn=lambda: input_fn(X_test, y_test, training=False)))
clear_output()
probs = np.array([pred['probabilities'] for pred in pred_dicts])
ROC_Curve(y_test_cat, probs, n_classes = len(Labels_dict), FS = 8)
Confusion Matrix¶
In [13]:
# Train
pred_dicts = list(classifier.predict(input_fn=lambda: input_fn(X_train, y_train, training=False)))
clear_output()
probs = np.array([pred['probabilities'] for pred in pred_dicts])
y_pred = np.argmax(probs, axis = 1).reshape(-1,1)
Reports_Train = pd.DataFrame(metrics.classification_report(y_train, y_pred, target_names=list(Labels_dict.values()),
output_dict=True)).T
CM_Train = metrics.confusion_matrix(y_train, y_pred)
# Test
pred_dicts = list(classifier.predict(input_fn=lambda: input_fn(X_test, y_test, training=False)))
clear_output()
probs = np.array([pred['probabilities'] for pred in pred_dicts])
y_pred = np.argmax(probs, axis = 1).reshape(-1,1)
Reports_Test = pd.DataFrame(metrics.classification_report(y_test, y_pred, target_names=list(Labels_dict.values()),
output_dict=True)).T
CM_Test = metrics.confusion_matrix(y_test, y_pred)
Reports_Train = Reports_Train.reset_index().rename(columns ={'index': 'Train Set'})
Reports_Test = Reports_Test.reset_index().rename(columns ={'index': 'Test Set'})
display(Reports_Train.style.hide(axis='index').set_properties(**{'background-color': 'HoneyDew', 'color': 'Black'}).\
set_properties(subset=['Train Set'], **{'background-color': 'SeaGreen', 'color': 'White'}))
display(Reports_Test.style.hide(axis='index').set_properties(**{'background-color': 'Azure', 'color': 'Black'}).\
set_properties(subset=['Test Set'], **{'background-color': 'RoyalBlue', 'color': 'White'}))
PD = dict(FS = (10, 6), annot_kws = 14, shrink = .6, Labels = list(Labels_dict.values()))
Confusion_Mat(CM_Train, CM_Test, PD = PD, n_splits = None)
Estimator using an Optimizer with a Learning Rate Decay
In [14]:
tf.keras.backend.clear_session()
IT = int(5e3)
classifier = tf.estimator.LinearClassifier(feature_columns=my_feature_columns,
optimizer=lambda: tf.keras.optimizers.Adam(learning_rate=tf.compat.v1.train.exponential_decay(learning_rate=0.1,
global_step=tf.compat.v1.train.get_global_step(), decay_steps=IT,decay_rate=0.96)))
#
classifier.train(input_fn=lambda: input_fn(X_train, y_train, training=True), max_steps = IT)
result = classifier.evaluate(input_fn=lambda: input_fn(X_test, y_test, training=False))
clear_output()
display(pd.DataFrame(result, index = ['']).round(4))
ROC Curves¶
In [15]:
# converting y_test to categorical
y_test_cat = tf.keras.utils.to_categorical(y_test, num_classes = len(Labels_dict), dtype='float32')
pred_dicts = list(classifier.predict(input_fn=lambda: input_fn(X_test, y_test, training=False)))
clear_output()
probs = np.array([pred['probabilities'] for pred in pred_dicts])
ROC_Curve(y_test_cat, probs, n_classes = len(Labels_dict), FS = 8)
Confusion Matrix¶
In [16]:
# Train
pred_dicts = list(classifier.predict(input_fn=lambda: input_fn(X_train, y_train, training=False)))
clear_output()
probs = np.array([pred['probabilities'] for pred in pred_dicts])
y_pred = np.argmax(probs, axis = 1).reshape(-1,1)
Reports_Train = pd.DataFrame(metrics.classification_report(y_train, y_pred, target_names=list(Labels_dict.values()),
output_dict=True)).T
CM_Train = metrics.confusion_matrix(y_train, y_pred)
# Test
pred_dicts = list(classifier.predict(input_fn=lambda: input_fn(X_test, y_test, training=False)))
clear_output()
probs = np.array([pred['probabilities'] for pred in pred_dicts])
y_pred = np.argmax(probs, axis = 1).reshape(-1,1)
Reports_Test = pd.DataFrame(metrics.classification_report(y_test, y_pred, target_names=list(Labels_dict.values()),
output_dict=True)).T
CM_Test = metrics.confusion_matrix(y_test, y_pred)
Reports_Train = Reports_Train.reset_index().rename(columns ={'index': 'Train Set'})
Reports_Test = Reports_Test.reset_index().rename(columns ={'index': 'Test Set'})
display(Reports_Train.style.hide(axis='index').set_properties(**{'background-color': 'HoneyDew', 'color': 'Black'}).\
set_properties(subset=['Train Set'], **{'background-color': 'SeaGreen', 'color': 'White'}))
display(Reports_Test.style.hide(axis='index').set_properties(**{'background-color': 'Azure', 'color': 'Black'}).\
set_properties(subset=['Test Set'], **{'background-color': 'RoyalBlue', 'color': 'White'}))
PD = dict(FS = (10, 6), annot_kws = 14, shrink = .6, Labels = list(Labels_dict.values()))
Confusion_Mat(CM_Train, CM_Test, PD = PD, n_splits = None)
References¶
- Regression analysis Wikipedia page
- Tensorflow tutorials
- W.N. Street, W.H. Wolberg and O.L. Mangasarian. Nuclear feature extraction for breast tumor diagnosis. IS&T/SPIE 1993 International Symposium on Electronic Imaging: Science and Technology, volume 1905, pages 861-870, San Jose, CA, 1993.
- O.L. Mangasarian, W.N. Street and W.H. Wolberg. Breast cancer diagnosis and prognosis via linear programming. Operations Research, 43(4), pages 570-577, July-August 1995.
- W.H. Wolberg, W.N. Street, and O.L. Mangasarian. Machine learning techniques to diagnose breast cancer from fine-needle aspirates. Cancer Letters 77 (1994) 163-171.
- Online machine learning Wikipedia page
- Learning rate Wikipedia page